{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this example we will see how to train a SOM to create a map of handritten digits using the <a href=\"https://archive.ics.uci.edu/ml/datasets/Optical+Recognition+of+Handwritten+Digits\">UCI ML hand-written digits datasets</a>.\n",
    "\n",
    "First, we'll 1) load the data using the sklearn wrapper, 2) scale the data, 3) train the som."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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      " quantization error: 3.0005110291241293\n"
     ]
    }
   ],
   "source": [
    "from minisom import MiniSom\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "from sklearn import datasets\n",
    "from sklearn.preprocessing import scale\n",
    "\n",
    "# load the digits dataset from scikit-learn\n",
    "digits = datasets.load_digits(n_class=10)\n",
    "data = digits.data  # matrix where each row is a vector that represent a digit.\n",
    "data = scale(data)\n",
    "num = digits.target  # num[i] is the digit represented by data[i]\n",
    "\n",
    "som = MiniSom(30, 30, 64, sigma=4,\n",
    "              learning_rate=0.5, neighborhood_function='triangle')\n",
    "som.pca_weights_init(data)\n",
    "som.train(data, 5000, random_order=True, verbose=True)  # random training"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Not that each input vector for the SOM represents the entire image obtained reshaping the original image of dimension 8-by-8 into a vector of 64 elements. The images in input are gray scale.\n",
    "\n",
    "We can now place each digit on the map represented by the SOM:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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WkXUs0ma7OGWIEsGurUmkvSKGKKfsUiKI1J2/M8ot85oKOnwu2HabH6+J6UnE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\nM2H1M7B/N8TTXHbWr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      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 8))\n",
    "wmap = {}\n",
    "im = 0\n",
    "for x, t in zip(data, num):  # scatterplot\n",
    "    w = som.winner(x)\n",
    "    wmap[w] = im\n",
    "    plt. text(w[0]+.5,  w[1]+.5,  str(t),\n",
    "              color=plt.cm.rainbow(t / 10.), fontdict={'weight': 'bold',  'size': 11})\n",
    "    im = im + 1\n",
    "plt.axis([0, som.get_weights().shape[0], 0,  som.get_weights().shape[1]])\n",
    "plt.savefig('resulting_images/som_digts.png')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ZzMzMzCxwBLmZKYqiRPHGpH4btoYpUqBBRADbtm0D8oE9mtYnRn1aA0WJNW0O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AofI6eopG5X+BkdZ89w6ofPXSueAUSQAQAAgOC+IsieH9fRHal8G2+O6qxbt67YTjHAyWWJbyx9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\nUcMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x720 with 400 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 10), facecolor='white')\n",
    "cnt = 0\n",
    "for j in reversed(range(20)):  # images mosaic\n",
    "    for i in range(20):\n",
    "        plt.subplot(20, 20, cnt+1, frameon=False,  xticks=[],  yticks=[])\n",
    "        if (i, j) in wmap:\n",
    "            plt.imshow(digits.images[wmap[(i, j)]],\n",
    "                       cmap='Greys', interpolation='nearest')\n",
    "        else:\n",
    "            plt.imshow(np.zeros((8, 8)),  cmap='Greys')\n",
    "        cnt = cnt + 1\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.savefig('resulting_images/som_digts_imgs.png')\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
